Construction of MDS Self-dual Codes over Finite Fields

Abstract

In this paper, we obtain some new results on the existence of MDS self-dual codes utilizing (extended) generalized Reed-Solomon codes over finite fields of odd characteristic. For some fixed $q$, our results can produce more classes of MDS self-dual codes than previous works.

Cited by in corpus (3)

• An Unified Approach on Constructing of MDS Self-dual Codes via Reed-Solomon Codes
• On the Constructions of MDS Self-dual Codes via Cyclotomy
• New MDS Euclidean Self-orthogonal Codes